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Finding the Third Proportional to 24,305 and 38,077.50

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Solution

The third proportional to 24,305 and 38,077.50 is: 59,654.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,305 : 38,077.50 = 38,077.50 : x
  2. Step 2: Convert to fraction form
    24,305/38,077.50 = 38,077.50/x
  3. Step 3: Cross multiply
    24,305x = 38,077.50 × 38,077.50
  4. Step 4: Simplify right side
    24,305x = 1,449,896,006.25
  5. Step 5: Solve for x
    x = 1,449,896,006.25/24,305
  6. Step 6: Final answer
    x = 59,654.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.